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New Years resolutions
The amount of resolution you need in an image is dependent on three factors.
One is the amount of enlargement as described above. Second, we need to
know the frequency of the halftone screen (even stochastic patterns have
a screen frequency; the cells are still present-even if the dots aren't).
Screen frequencies range from coarse for posters and large displays (usually
about 35 lines per inch) up to high quality sheet-fed printing at 200 Ipi
or more. Determining the correct frequency is a function of choosing a printing
process and then determining the appropriate screen frequency for that process.
Printers of all processes will be able to tell you the limitations of screen
frequency on their presses. Newsprint, for example, is usually printed with
screen frequencies of 85 or 100 lines per inch. Web-fed magazines are usually
printed with 133 lines per inch, and commercial printing on sheet-fed presses
is usually printed at 150 lines per inch. We choose the correct one for
the calculation of resolution, and proceed with our formula.
Next, we need a multiplier. The multiplier is used to generate more than
one pixel in the image per eventual halftone dot in the printed halftone.
Conventional wisdom" has recently dictated that a multiplier of 2.0
is correct, and many people adhere to this value as if it were a religious
truth. But, experimentation will show that most images don't need this much
resolution. Practical values range from 1.25 to 2.0 for conventional dot
halftones, and multipliers of less thus 1:1 suffice for the new stochastic
pattern images. The multiplier is chosen in part according to the halftone
frequency and content of the image Successful stochastic printing is now
being done from images scanned (or, in the case of Photo CD scans, chosen)
at much lower relationships between the pixels and 'dots" - as low
as 0.75:1 and lower.
A common engineering cornerstone, Nyquist's theorem, dictates that to get
a good sample you must scan 2:1 data for final analysis or any analysis
of information. 4'Nyquist's theorem," in the words of one scientist
I interviewed, "was an emancipation for engineers. It told us that
we didn't need more than 2:1 data ratio on scans; it freed us to sample,
and get on with the analysis without worrying about whether we were introducing
error into the study from too little data." Nyquist's theorem, however,
has more to do with signal-to-noise ratio in transmission and engineering
analysis than it does in halftones because of the random nature of continuous
tone images. Errors introduced by sampling at lower ratios result in nothing
more than a slight loss of edge sharpness. Using unsharp masking, one can
easily restore a sense of sharpness to an image undersampled for reproduction.
Fine detail can be lost, however.
So, we can experiment with sampling ratios of 1.25 or 1.5 to complete our
formula. You will see quickly that image usage is a flexible, virtually
elastic, issue when it comes to reproduction, and that no absolute rules
apply. What occurs in halftone-making is the passing of a digit from one
process to another, with under- or oversamplings taken from point to point,
for the ultimate of an averaging of data to create a tonal dot or pattern
to impart the illusion of print tonality. The entire halftone process creates
an illusion of tonality where none exists.

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